HepRndmGenerators.cpp

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//====================================================================
//      Random Generator implementations
//--------------------------------------------------------------------
//
//  Package    : Gaudi/RndmGen ( The LHCb Offline System)
//  Author     : M.Frank
//  History    :
// +---------+----------------------------------------------+---------
// |    Date |                 Comment                      | Who
// +---------+----------------------------------------------+---------
// | 29/10/99| Initial version                              | MF
// +---------+----------------------------------------------+---------
//
//====================================================================
#define HEPRNDM_HEPRNDMGENSVC_CPP

// Framework include files
#include "GaudiKernel/ObjectFactory.h"

// STL include files
#include <cfloat>
#include <cmath>
#include <iostream>
#include <memory>

// The order of the following two include files is significant due to template specialisation
#include "GaudiKernel/IIncidentSvc.h"
#include "GaudiKernel/RndmGenerators.h"
#include "HepRndmGenerator.h"
#include "RndmGen.h"
#include "RndmGenSvc.h"

#include "CLHEP/Random/RandBinomial.h"
#include "CLHEP/Random/RandBreitWigner.h"
#include "CLHEP/Random/RandChiSquare.h"
#include "CLHEP/Random/RandExponential.h"
#include "CLHEP/Random/RandFlat.h"
#include "CLHEP/Random/RandGamma.h"
#include "CLHEP/Random/RandGaussQ.h"
#include "CLHEP/Random/RandGeneral.h"
#include "CLHEP/Random/RandPoisson.h"
#include "CLHEP/Random/RandStudentT.h"
#include "CLHEP/Random/RandomEngine.h"

// Handle CLHEP 2.0.x move to CLHEP namespace
namespace CLHEP
{
}
using namespace CLHEP;

namespace HepRndm
{

  // Specialized shoot function for flat distributed random number generation
  template <>
  double Generator<Rndm::Flat>::shoot() const
  {
    return RandFlat::shoot( m_hepEngine, m_specs->minimum(), m_specs->maximum() );
  }

  // Specialized shoot function
  template <>
  double Generator<Rndm::Bit>::shoot() const
  {
    return RandFlat::shootBit( m_hepEngine );
  }

  // Specialized shoot function for Gauss distributed random number generation
  template <>
  double Generator<Rndm::Gauss>::shoot() const
  {
    return RandGaussQ::shoot( m_hepEngine, m_specs->mean(), m_specs->sigma() );
  }

#ifdef __ICC
// disable icc remark #2259: non-pointer conversion from "X" to "Y" may lose significant bits
//   Mandatory because RandPoisson::shoot returns "long"
#pragma warning( push )
#pragma warning( disable : 2259 )
#endif
  // Specialized shoot function for Poisson distributed random number generation
  template <>
  double Generator<Rndm::Poisson>::shoot() const
  {
    return RandPoisson::shoot( m_hepEngine, m_specs->mean() );
  }

#ifdef __ICC
// re-enable icc remark #2259
#pragma warning( pop )
#endif

  // Specialized shoot function
  template <>
  double Generator<Rndm::Exponential>::shoot() const
  {
    return RandExponential::shoot( m_hepEngine, m_specs->mean() );
  }

  // Specialized shoot function
  template <>
  double Generator<Rndm::BreitWigner>::shoot() const
  {
    return RandBreitWigner::shoot( m_hepEngine, m_specs->mean(), m_specs->gamma() );
  }

  // Specialized shoot function
  template <>
  double Generator<Rndm::BreitWignerCutOff>::shoot() const
  {
    return RandBreitWigner::shoot( m_hepEngine, m_specs->mean(), m_specs->gamma(), m_specs->cutOff() );
  }

  // Specialized shoot function
  template <>
  double Generator<Rndm::Chi2>::shoot() const
  {
    return RandChiSquare::shoot( m_hepEngine, m_specs->nDOF() );
  }

  // Specialized shoot function
  template <>
  double Generator<Rndm::StudentT>::shoot() const
  {
    return RandStudentT::shoot( m_hepEngine, m_specs->aValue() );
  }

  template <>
  double Generator<Rndm::Gamma>::shoot() const
  {
    return RandGamma::shoot( m_hepEngine, m_specs->kValue(), m_specs->lambda() );
  }

  // Specialized shoot function
  template <>
  double Generator<Rndm::Binomial>::shoot() const
  {
    return RandBinomial::shoot( m_hepEngine, m_specs->nEvent(), m_specs->probability() );
  }

  /************************************************************************
  * Copyright(c) 1995-1999, The ROOT System, All rights reserved.         *
  * Authors: Rene Brun, Fons Rademakers.                                  *
  * For list of contributors see $ROOTSYS/AA_CREDITS.                     *
  *                                                                       *
  * Permission to use, copy, modify and distribute this software and its  *
  * documentation for non-commercial purposes is hereby granted without   *
  * fee, provided that the above copyright notice appears in all copies   *
  * and that both the copyright notice and this permission notice appear  *
  * in the supporting documentation. The authors make no claims about the *
  * suitability of this software for any purpose. It is provided "as is"  *
  * without express or implied warranty.                                  *
  ************************************************************************/
  // Specialized shoot function. The Landau distribution is not covered by
  // CLHEP yet. This is hacked up version from ROOT. The above copyright notice
  // should give the guys credit.
  template <>
  double Generator<Rndm::Landau>::shoot() const
  {
    //  Generate a random number following a Landau distribution
    //  with average value mean and rms
    //  Converted by Rene Brun from CERNLIB routine ranlan(G110)
    static double f[982] = {
        0,         0,         0,         0,         0,         -2.244733, -2.204365, -2.168163, -2.135219, -2.104898,
        -2.076740, -2.050397, -2.025605, -2.002150, -1.979866, -1.958612, -1.938275, -1.918760, -1.899984, -1.881879,
        -1.864385, -1.847451, -1.831030, -1.815083, -1.799574, -1.784473, -1.769751, -1.755383, -1.741346, -1.727620,
        -1.714187, -1.701029, -1.688130, -1.675477, -1.663057, -1.650858, -1.638868, -1.627078, -1.615477, -1.604058,
        -1.592811, -1.581729, -1.570806, -1.560034, -1.549407, -1.538919, -1.528565, -1.518339, -1.508237, -1.498254,
        -1.488386, -1.478628, -1.468976, -1.459428, -1.449979, -1.440626, -1.431365, -1.422195, -1.413111, -1.404112,
        -1.395194, -1.386356, -1.377594, -1.368906, -1.360291, -1.351746, -1.343269, -1.334859, -1.326512, -1.318229,
        -1.310006, -1.301843, -1.293737, -1.285688, -1.277693, -1.269752, -1.261863, -1.254024, -1.246235, -1.238494,
        -1.230800, -1.223153, -1.215550, -1.207990, -1.200474, -1.192999, -1.185566, -1.178172, -1.170817, -1.163500,
        -1.156220, -1.148977, -1.141770, -1.134598, -1.127459, -1.120354, -1.113282, -1.106242, -1.099233, -1.092255,
        -1.085306, -1.078388, -1.071498, -1.064636, -1.057802, -1.050996, -1.044215, -1.037461, -1.030733, -1.024029,
        -1.017350, -1.010695, -1.004064, -.997456,  -.990871,  -.984308,  -.977767,  -.971247,  -.964749,  -.958271,
        -.951813,  -.945375,  -.938957,  -.932558,  -.926178,  -.919816,  -.913472,  -.907146,  -.900838,  -.894547,
        -.888272,  -.882014,  -.875773,  -.869547,  -.863337,  -.857142,  -.850963,  -.844798,  -.838648,  -.832512,
        -.826390,  -.820282,  -.814187,  -.808106,  -.802038,  -.795982,  -.789940,  -.783909,  -.777891,  -.771884,
        -.765889,  -.759906,  -.753934,  -.747973,  -.742023,  -.736084,  -.730155,  -.724237,  -.718328,  -.712429,
        -.706541,  -.700661,  -.694791,  -.688931,  -.683079,  -.677236,  -.671402,  -.665576,  -.659759,  -.653950,
        -.648149,  -.642356,  -.636570,  -.630793,  -.625022,  -.619259,  -.613503,  -.607754,  -.602012,  -.596276,
        -.590548,  -.584825,  -.579109,  -.573399,  -.567695,  -.561997,  -.556305,  -.550618,  -.544937,  -.539262,
        -.533592,  -.527926,  -.522266,  -.516611,  -.510961,  -.505315,  -.499674,  -.494037,  -.488405,  -.482777,
        -.477153,  -.471533,  -.465917,  -.460305,  -.454697,  -.449092,  -.443491,  -.437893,  -.432299,  -.426707,
        -.421119,  -.415534,  -.409951,  -.404372,  -.398795,  -.393221,  -.387649,  -.382080,  -.376513,  -.370949,
        -.365387,  -.359826,  -.354268,  -.348712,  -.343157,  -.337604,  -.332053,  -.326503,  -.320955,  -.315408,
        -.309863,  -.304318,  -.298775,  -.293233,  -.287692,  -.282152,  -.276613,  -.271074,  -.265536,  -.259999,
        -.254462,  -.248926,  -.243389,  -.237854,  -.232318,  -.226783,  -.221247,  -.215712,  -.210176,  -.204641,
        -.199105,  -.193568,  -.188032,  -.182495,  -.176957,  -.171419,  -.165880,  -.160341,  -.154800,  -.149259,
        -.143717,  -.138173,  -.132629,  -.127083,  -.121537,  -.115989,  -.110439,  -.104889,  -.099336,  -.093782,
        -.088227,  -.082670,  -.077111,  -.071550,  -.065987,  -.060423,  -.054856,  -.049288,  -.043717,  -.038144,
        -.032569,  -.026991,  -.021411,  -.015828,  -.010243,  -.004656,  .000934,   .006527,   .012123,   .017722,
        .023323,   .028928,   .034535,   .040146,   .045759,   .051376,   .056997,   .062620,   .068247,   .073877,
        .079511,   .085149,   .090790,   .096435,   .102083,   .107736,   .113392,   .119052,   .124716,   .130385,
        .136057,   .141734,   .147414,   .153100,   .158789,   .164483,   .170181,   .175884,   .181592,   .187304,
        .193021,   .198743,   .204469,   .210201,   .215937,   .221678,   .227425,   .233177,   .238933,   .244696,
        .250463,   .256236,   .262014,   .267798,   .273587,   .279382,   .285183,   .290989,   .296801,   .302619,
        .308443,   .314273,   .320109,   .325951,   .331799,   .337654,   .343515,   .349382,   .355255,   .361135,
        .367022,   .372915,   .378815,   .384721,   .390634,   .396554,   .402481,   .408415,   .414356,   .420304,
        .426260,   .432222,   .438192,   .444169,   .450153,   .456145,   .462144,   .468151,   .474166,   .480188,
        .486218,   .492256,   .498302,   .504356,   .510418,   .516488,   .522566,   .528653,   .534747,   .540850,
        .546962,   .553082,   .559210,   .565347,   .571493,   .577648,   .583811,   .589983,   .596164,   .602355,
        .608554,   .614762,   .620980,   .627207,   .633444,   .639689,   .645945,   .652210,   .658484,   .664768,
        .671062,   .677366,   .683680,   .690004,   .696338,   .702682,   .709036,   .715400,   .721775,   .728160,
        .734556,   .740963,   .747379,   .753807,   .760246,   .766695,   .773155,   .779627,   .786109,   .792603,
        .799107,   .805624,   .812151,   .818690,   .825241,   .831803,   .838377,   .844962,   .851560,   .858170,
        .864791,   .871425,   .878071,   .884729,   .891399,   .898082,   .904778,   .911486,   .918206,   .924940,
        .931686,   .938446,   .945218,   .952003,   .958802,   .965614,   .972439,   .979278,   .986130,   .992996,
        .999875,   1.006769,  1.013676,  1.020597,  1.027533,  1.034482,  1.041446,  1.048424,  1.055417,  1.062424,
        1.069446,  1.076482,  1.083534,  1.090600,  1.097681,  1.104778,  1.111889,  1.119016,  1.126159,  1.133316,
        1.140490,  1.147679,  1.154884,  1.162105,  1.169342,  1.176595,  1.183864,  1.191149,  1.198451,  1.205770,
        1.213105,  1.220457,  1.227826,  1.235211,  1.242614,  1.250034,  1.257471,  1.264926,  1.272398,  1.279888,
        1.287395,  1.294921,  1.302464,  1.310026,  1.317605,  1.325203,  1.332819,  1.340454,  1.348108,  1.355780,
        1.363472,  1.371182,  1.378912,  1.386660,  1.394429,  1.402216,  1.410024,  1.417851,  1.425698,  1.433565,
        1.441453,  1.449360,  1.457288,  1.465237,  1.473206,  1.481196,  1.489208,  1.497240,  1.505293,  1.513368,
        1.521465,  1.529583,  1.537723,  1.545885,  1.554068,  1.562275,  1.570503,  1.578754,  1.587028,  1.595325,
        1.603644,  1.611987,  1.620353,  1.628743,  1.637156,  1.645593,  1.654053,  1.662538,  1.671047,  1.679581,
        1.688139,  1.696721,  1.705329,  1.713961,  1.722619,  1.731303,  1.740011,  1.748746,  1.757506,  1.766293,
        1.775106,  1.783945,  1.792810,  1.801703,  1.810623,  1.819569,  1.828543,  1.837545,  1.846574,  1.855631,
        1.864717,  1.873830,  1.882972,  1.892143,  1.901343,  1.910572,  1.919830,  1.929117,  1.938434,  1.947781,
        1.957158,  1.966566,  1.976004,  1.985473,  1.994972,  2.004503,  2.014065,  2.023659,  2.033285,  2.042943,
        2.052633,  2.062355,  2.072110,  2.081899,  2.091720,  2.101575,  2.111464,  2.121386,  2.131343,  2.141334,
        2.151360,  2.161421,  2.171517,  2.181648,  2.191815,  2.202018,  2.212257,  2.222533,  2.232845,  2.243195,
        2.253582,  2.264006,  2.274468,  2.284968,  2.295507,  2.306084,  2.316701,  2.327356,  2.338051,  2.348786,
        2.359562,  2.370377,  2.381234,  2.392131,  2.403070,  2.414051,  2.425073,  2.436138,  2.447246,  2.458397,
        2.469591,  2.480828,  2.492110,  2.503436,  2.514807,  2.526222,  2.537684,  2.549190,  2.560743,  2.572343,
        2.583989,  2.595682,  2.607423,  2.619212,  2.631050,  2.642936,  2.654871,  2.666855,  2.678890,  2.690975,
        2.703110,  2.715297,  2.727535,  2.739825,  2.752168,  2.764563,  2.777012,  2.789514,  2.802070,  2.814681,
        2.827347,  2.840069,  2.852846,  2.865680,  2.878570,  2.891518,  2.904524,  2.917588,  2.930712,  2.943894,
        2.957136,  2.970439,  2.983802,  2.997227,  3.010714,  3.024263,  3.037875,  3.051551,  3.065290,  3.079095,
        3.092965,  3.106900,  3.120902,  3.134971,  3.149107,  3.163312,  3.177585,  3.191928,  3.206340,  3.220824,
        3.235378,  3.250005,  3.264704,  3.279477,  3.294323,  3.309244,  3.324240,  3.339312,  3.354461,  3.369687,
        3.384992,  3.400375,  3.415838,  3.431381,  3.447005,  3.462711,  3.478500,  3.494372,  3.510328,  3.526370,
        3.542497,  3.558711,  3.575012,  3.591402,  3.607881,  3.624450,  3.641111,  3.657863,  3.674708,  3.691646,
        3.708680,  3.725809,  3.743034,  3.760357,  3.777779,  3.795300,  3.812921,  3.830645,  3.848470,  3.866400,
        3.884434,  3.902574,  3.920821,  3.939176,  3.957640,  3.976215,  3.994901,  4.013699,  4.032612,  4.051639,
        4.070783,  4.090045,  4.109425,  4.128925,  4.148547,  4.168292,  4.188160,  4.208154,  4.228275,  4.248524,
        4.268903,  4.289413,  4.310056,  4.330832,  4.351745,  4.372794,  4.393982,  4.415310,  4.436781,  4.458395,
        4.480154,  4.502060,  4.524114,  4.546319,  4.568676,  4.591187,  4.613854,  4.636678,  4.659662,  4.682807,
        4.706116,  4.729590,  4.753231,  4.777041,  4.801024,  4.825179,  4.849511,  4.874020,  4.898710,  4.923582,
        4.948639,  4.973883,  4.999316,  5.024942,  5.050761,  5.076778,  5.102993,  5.129411,  5.156034,  5.182864,
        5.209903,  5.237156,  5.264625,  5.292312,  5.320220,  5.348354,  5.376714,  5.405306,  5.434131,  5.463193,
        5.492496,  5.522042,  5.551836,  5.581880,  5.612178,  5.642734,  5.673552,  5.704634,  5.735986,  5.767610,
        5.799512,  5.831694,  5.864161,  5.896918,  5.929968,  5.963316,  5.996967,  6.030925,  6.065194,  6.099780,
        6.134687,  6.169921,  6.205486,  6.241387,  6.277630,  6.314220,  6.351163,  6.388465,  6.426130,  6.464166,
        6.502578,  6.541371,  6.580553,  6.620130,  6.660109,  6.700495,  6.741297,  6.782520,  6.824173,  6.866262,
        6.908795,  6.951780,  6.995225,  7.039137,  7.083525,  7.128398,  7.173764,  7.219632,  7.266011,  7.312910,
        7.360339,  7.408308,  7.456827,  7.505905,  7.555554,  7.605785,  7.656608,  7.708035,  7.760077,  7.812747,
        7.866057,  7.920019,  7.974647,  8.029953,  8.085952,  8.142657,  8.200083,  8.258245,  8.317158,  8.376837,
        8.437300,  8.498562,  8.560641,  8.623554,  8.687319,  8.751955,  8.817481,  8.883916,  8.951282,  9.019600,
        9.088889,  9.159174,  9.230477,  9.302822,  9.376233,  9.450735,  9.526355,  9.603118,  9.681054,  9.760191,
        9.840558,  9.922186,  10.005107, 10.089353, 10.174959, 10.261958, 10.350389, 10.440287, 10.531693, 10.624646,
        10.719188, 10.815362, 10.913214, 11.012789, 11.114137, 11.217307, 11.322352, 11.429325, 11.538283, 11.649285,
        11.762390, 11.877664, 11.995170, 12.114979, 12.237161, 12.361791, 12.488946, 12.618708, 12.751161, 12.886394,
        13.024498, 13.165570, 13.309711, 13.457026, 13.607625, 13.761625, 13.919145, 14.080314, 14.245263, 14.414134,
        14.587072, 14.764233, 14.945778, 15.131877, 15.322712, 15.518470, 15.719353, 15.925570, 16.137345, 16.354912,
        16.578520, 16.808433, 17.044929, 17.288305, 17.538873, 17.796967, 18.062943, 18.337176, 18.620068, 18.912049,
        19.213574, 19.525133, 19.847249, 20.180480, 20.525429, 20.882738, 21.253102, 21.637266, 22.036036, 22.450278,
        22.880933, 23.329017, 23.795634, 24.281981, 24.789364, 25.319207, 25.873062, 26.452634, 27.059789, 27.696581,
        28.365274, 29.068370, 29.808638, 30.589157, 31.413354, 32.285060, 33.208568, 34.188705, 35.230920, 36.341388,
        37.527131, 38.796172, 40.157721, 41.622399, 43.202525, 44.912465, 46.769077, 48.792279, 51.005773, 53.437996,
        56.123356, 59.103894};

    if ( m_specs->sigma() > 0 ) {
      double mean  = m_specs->mean();
      double sigma = m_specs->sigma();
      double x     = RandFlat::shoot( m_hepEngine, 0., 1. );
      double u     = 1000.0 * x;
      long i       = long( u );
      double ranlan, v;
      u -= i;
      if ( i >= 70 && i < 800 ) {
        ranlan = f[i - 1] + u * ( f[i] - f[i - 1] );
      } else if ( i >= 7 && i <= 980 ) {
        ranlan = f[i - 1] + u * ( f[i] - f[i - 1] - 0.25 * ( 1 - u ) * ( f[i + 1] - f[i] - f[i - 1] + f[i - 2] ) );
      } else if ( i < 7 ) {
        v      = log( x );
        u      = 1 / v;
        ranlan = ( ( 0.99858950 + ( 3.45213058E1 + 1.70854528E1 * u ) * u ) /
                   ( 1 + ( 3.41760202E1 + 4.01244582 * u ) * u ) ) *
                 ( -log( -0.91893853 - v ) - 1 );
      } else {
        u = 1 - x;
        v = u * u;
        if ( x <= 0.999 ) {
          ranlan = ( 1.00060006 + 2.63991156E2 * u + 4.37320068E3 * v ) /
                   ( ( 1 + 2.57368075E2 * u + 3.41448018E3 * v ) * u );
        } else {
          ranlan = ( 1.00001538 + 6.07514119E3 * u + 7.34266409E5 * v ) /
                   ( ( 1 + 6.06511919E3 * u + 6.94021044E5 * v ) * u );
        }
      }
      return mean + sigma * ranlan;
    }
    return DBL_MAX;
  }

  template <>
  class Generator<Rndm::DefinedPdf> : public RndmGen
  {
  protected:
    std::unique_ptr<RandGeneral> m_generator;
    HepRandomEngine* m_hepEngine = nullptr;

  public:
    Generator( IInterface* engine ) : RndmGen( engine ) {}
    ~Generator() override = default;
    StatusCode initialize( const IRndmGen::Param& par ) override
    {
      StatusCode status = RndmGen::initialize( par );
      if ( status.isSuccess() ) {
        try {
          Rndm::DefinedPdf* specs = dynamic_cast<Rndm::DefinedPdf*>( m_params.get() );
          if ( specs ) {
            m_generator.reset( new RandGeneral( &specs->pdf()[0], specs->pdf().size(), specs->interpolation() ) );
            BaseEngine* engine = dynamic_cast<BaseEngine*>( m_engine.get() );
            if ( engine ) {
              m_hepEngine = engine->hepEngine();
              if ( m_hepEngine ) {
                return StatusCode::SUCCESS;
              }
            }
          }
        } catch ( ... ) {
        }
      }
      return StatusCode::FAILURE;
    }
    StatusCode finalize() override
    {
      m_generator.reset();
      return RndmGen::finalize();
    }
    double shoot() const override { return m_generator->shoot( m_hepEngine ); }
  };

#ifdef __ICC
// disable icc remark #1572: floating-point equality and inequality comparisons are unreliable
//   The comparison is meant
#pragma warning( push )
#pragma warning( disable : 1572 )
#endif
  // Specialized shoot function
  template <>
  double Generator<Rndm::GaussianTail>::shoot() const
  {
    /* Code obtained and adapted from GSL
     gsl_ran_gaussian_tail (const gsl_rng * r, const double a, const double sigma)
     Returns a gaussian random variable larger than a
     This implementation does one-sided upper-tailed deviates.
    */
    double a     = m_specs->cut();
    double sigma = m_specs->sigma();
    double s     = a / sigma;
    if ( s < 1 ) {
      /* For small s, use a direct rejection method. The limit s < 1
         can be adjusted to optimise the overall efficiency */
      double x;
      do {
        // x = gsl_ran_gaussian (r, 1.0);
        x = RandGaussQ::shoot( m_hepEngine, 0.0, 1.0 );
      } while ( x < s );
      return x * sigma;
    } else {
      /* Use the "supertail" deviates from the last two steps
       * of Marsaglia's rectangle-wedge-tail method, as described
       * in Knuth, v2, 3rd ed, pp 123-128.  (See also exercise 11, p139,
       * and the solution, p586.)
       */
      double u, v, x;
      do {
        // u = gsl_rng_uniform (r);
        u = RandFlat::shoot( m_hepEngine );
        do {
          // v = gsl_rng_uniform (r);
          v = RandFlat::shoot( m_hepEngine );
        } while ( v == 0.0 );
        x = sqrt( s * s - 2 * log( v ) );
      } while ( x * u > s );
      return x * sigma;
    }
#ifdef __ICC
// re-enable icc remark #1572
#pragma warning( pop )
#endif
  }
}

using namespace Rndm;
#define DECLARE_GENERATOR_FACTORY( x, i )                                                                              \
  typedef HepRndm::Generator<x> b##i;                                                                                  \
  DECLARE_FACTORY_WITH_ID( b##i, x::typeID(), ObjFactory )

DECLARE_GENERATOR_FACTORY( Bit, 1 )
DECLARE_GENERATOR_FACTORY( Flat, 2 )
DECLARE_GENERATOR_FACTORY( Chi2, 3 )
DECLARE_GENERATOR_FACTORY( Gamma, 4 )
DECLARE_GENERATOR_FACTORY( Gauss, 5 )
DECLARE_GENERATOR_FACTORY( Landau, 6 )
DECLARE_GENERATOR_FACTORY( Poisson, 7 )
DECLARE_GENERATOR_FACTORY( StudentT, 8 )
DECLARE_GENERATOR_FACTORY( Binomial, 9 )
DECLARE_GENERATOR_FACTORY( Exponential, 10 )
DECLARE_GENERATOR_FACTORY( BreitWigner, 11 )
DECLARE_GENERATOR_FACTORY( BreitWignerCutOff, 12 )
DECLARE_GENERATOR_FACTORY( DefinedPdf, 13 )
DECLARE_GENERATOR_FACTORY( GaussianTail, 14 )